摘要
本文完全地讨论了平面C-曲线和平面C-Bezier曲线的奇拐点和凸性性质:曲线段为且必为下列情形之一:有一各拐点,两个拐点,一个尖点,一个二重结点,处处为凸;并给出了相应的用控制多边形相对位置表示的充分必要条件.
In this paper we discuss the distribution of singular points and inflection points on a planar C-Bezier curve in details, and give the necessary and sufficient conditions for having one or two inflection points, or a loop, or a cusp, or none of the above points on the curve in terms of their control polygons.
出处
《计算数学》
CSCD
北大核心
2005年第1期63-70,共8页
Mathematica Numerica Sinica